He learned the piano with his maternal grandfather, Heniot Levy; attended the Westport School of Music, and received his B.A.
Following his debut in 1959, harpsichordist, fortepianist, duo-pianist, and clavichordist Kipnis performed in recital and as soloist with orchestras throughout the world, including North, Central, and South America, Western and Eastern Europe, Israel, and Australia.
Igor Kipnis performed as harpsichord soloist with the New York Philharmonic, the Chicago, Pittsburgh, St. Louis, Louisville, Dallas, Denver, Baltimore, Milwaukee, Seattle, Vancouver, Honolulu, and National Symphonies, the Minnesota Orchestra, the Capella Cracoviensis, the Boston Pops, the Munich Philharmonic, the New Amsterdam Sinfonietta, the Los Angeles, St. Paul, Cologne, Israel, New Stockholm, McGill, and Polish Chamber Orchestras, the New York Chamber Symphony, the Smithsonian Chamber Players, the Sinfonia of Sydney, and the Academy of St. Martin-in-the-Fields.
Kipnis's enormous harpsichord repertoire encompassed not only the traditional 16th through 18th Century composers but also included contemporary music and jazz as well.
He is especially noted for his entertaining concert-length presentation, The Light and Lively Harpsichord, which samples the full range of the harpsichord repertoire, from Bach to Brubeck, as well as for his informal mini-concerts whose format he has extensively pioneered at college student centers throughout the United States, and, additionally, for his performances and recordings on related early keyboard instruments, the fortepiano and clavichord, and for directing ensembles from the keyboard.
In 1995, he formed a duo with New York pianist Karen Kushner, internationally performing works for (modern) piano, four hands.
He recorded for Epiphany, Chesky, Angel (EMI), Sony Music/CBS, VAI, Arabesque, Music & Arts Programs of America, London (Decca), Musical Heritage Society, Intercord, Teichiku, Nonesuch, MCA, CRI, Grenadilla, Vanguard, Nitepro, King, Start, Golden Crest and Newport Classic.